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Finding the Fourth Proportional to 187,542, 281,313 and 56,214

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Solution

The fourth proportional to 187,542, 281,313 and 56,214 is: 84,321

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,542 : 281,313 = 56,214 : x
  2. Step 2: Convert to fraction form
    187,542/281,313 = 56,214/x
  3. Step 3: Cross multiply
    187,542x = 281,313 × 56,214
  4. Step 4: Simplify right side
    187,542x = 15,813,728,982
  5. Step 5: Solve for x
    x = 15,813,728,982/187,542
  6. Step 6: Final answer
    x = 84,321

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.